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Simplifying
(6c + 7)(6c + -7) = 0
Reorder the terms:
(7 + 6c)(6c + -7) = 0
Reorder the terms:
(7 + 6c)(-7 + 6c) = 0
Multiply (7 + 6c) * (-7 + 6c)
(7(-7 + 6c) + 6c * (-7 + 6c)) = 0
((-7 * 7 + 6c * 7) + 6c * (-7 + 6c)) = 0
((-49 + 42c) + 6c * (-7 + 6c)) = 0
(-49 + 42c + (-7 * 6c + 6c * 6c)) = 0
(-49 + 42c + (-42c + 36c2)) = 0
Combine like terms: 42c + -42c = 0
(-49 + 0 + 36c2) = 0
(-49 + 36c2) = 0
Solving
-49 + 36c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 36c2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 36c2 = 0 + 49
36c2 = 0 + 49
Combine like terms: 0 + 49 = 49
36c2 = 49
Divide each side by '36'.
c2 = 1.361111111
Simplifying
c2 = 1.361111111
Take the square root of each side:
c = {-1.166666667, 1.166666667}
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